242015424314445 has 96 divisors (see below), whose sum is σ = 424822507855200. Its totient is φ = 127442442240000.

The previous prime is 242015424314413. The next prime is 242015424314449. The reversal of 242015424314445 is 544413424510242.

242015424314445 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 154 + 2 + 43 + 14 + 445 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5093787191364 + 236921637123081 = 2256942^2 + 15392259^2 .

It is not a de Polignac number, because 242015424314445 - 2⁵ = 242015424314413 is a prime.

It is a super-2 number, since 2×242015424314445² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242015424314445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242015424314449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7270115361 + ... + 7270148649.

It is an arithmetic number, because the mean of its divisors is an integer number (4425234456825).

Almost surely, 2^{242015424314445} is an apocalyptic number.

It is an amenable number.

242015424314445 is a deficient number, since it is larger than the sum of its proper divisors (182807083540755).

242015424314445 is a wasteful number, since it uses less digits than its factorization.

242015424314445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37791 (or 37788 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 242015424314445 its reverse (544413424510242), we get a palindrome (786428848824687).

The spelling of 242015424314445 in words is "two hundred forty-two trillion, fifteen billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred forty-five".